Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence
In this paper, we introduce and study three notions of property in fuzzy topological spaces using quasi-coincidence sense, and we relate to other such notions. Then, we show that all these notions satisfy good extension property. These concepts also satisfy hereditary, productive and projective pro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2021-06-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | http://www.journal-fea.com/article_130159_65e26dd7c450bd6bb441df0ce7e239dc.pdf |
| _version_ | 1818723510099378176 |
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| author | Gurusamy Saravanakumar S. Tamilselvan A. Vadivel |
| author_facet | Gurusamy Saravanakumar S. Tamilselvan A. Vadivel |
| author_sort | Gurusamy Saravanakumar |
| collection | DOAJ |
| description | In this paper, we introduce and study three notions of property in fuzzy topological spaces using quasi-coincidence sense, and we relate to other such notions. Then, we show that all these notions satisfy good extension property. These concepts also satisfy hereditary, productive and projective properties. We note that all these concepts are preserved under one-one, onto, fuzzy regular open and fuzzy regular continuous mappings. Finally, we discuss initial and final fuzzy topological spaces on our concepts. |
| first_indexed | 2024-12-17T21:11:40Z |
| format | Article |
| id | doaj.art-0582a08c174340fbaedb0cdc8f4cecf7 |
| institution | Directory Open Access Journal |
| issn | 2783-1442 2717-3453 |
| language | English |
| last_indexed | 2024-12-17T21:11:40Z |
| publishDate | 2021-06-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj.art-0582a08c174340fbaedb0cdc8f4cecf72022-12-21T21:32:27ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532021-06-012212012910.22105/jfea.2021.275958.1085130159Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidenceGurusamy Saravanakumar0S. Tamilselvan1A. Vadivel2Department of Mathematics M.Kumarasamy College of Engineering Karur, IndiaMathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, India-608002.Department of Mathematics, Government Arts College (Autonomous), Karur, India-639007.In this paper, we introduce and study three notions of property in fuzzy topological spaces using quasi-coincidence sense, and we relate to other such notions. Then, we show that all these notions satisfy good extension property. These concepts also satisfy hereditary, productive and projective properties. We note that all these concepts are preserved under one-one, onto, fuzzy regular open and fuzzy regular continuous mappings. Finally, we discuss initial and final fuzzy topological spaces on our concepts.http://www.journal-fea.com/article_130159_65e26dd7c450bd6bb441df0ce7e239dc.pdfquasi‐coincidenceregular fuzzy t_0-type separationsfuzzy topological spacesinitial and final fuzzy topology |
| spellingShingle | Gurusamy Saravanakumar S. Tamilselvan A. Vadivel Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence Journal of Fuzzy Extension and Applications quasi‐coincidence regular fuzzy t_0-type separations fuzzy topological spaces initial and final fuzzy topology |
| title | Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence |
| title_full | Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence |
| title_fullStr | Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence |
| title_full_unstemmed | Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence |
| title_short | Regular T_0 ‐type Separations in Fuzzy Topological Spaces in the Sense of Quasi‐coincidence |
| title_sort | regular t 0 type separations in fuzzy topological spaces in the sense of quasi coincidence |
| topic | quasi‐coincidence regular fuzzy t_0-type separations fuzzy topological spaces initial and final fuzzy topology |
| url | http://www.journal-fea.com/article_130159_65e26dd7c450bd6bb441df0ce7e239dc.pdf |
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